Solve the following eqations.Check your result in each case
`7-5X=5-7X`

Answer

To solve the equation \( 7 - 5x = 5 - 7x \), we will follow these steps:

### Step 1: Write down the equation
We start with the equation:
\[ 7 - 5x = 5 - 7x \]

### Step 2: Move the x terms to one side
To isolate the variable \( x \), we can add \( 7x \) to both sides of the equation:
\[ 7 - 5x + 7x = 5 - 7x + 7x \]
This simplifies to:
\[ 7 + 2x = 5 \]

### Step 3: Move the constant terms to the other side
Next, we subtract \( 7 \) from both sides:
\[ 7 + 2x - 7 = 5 - 7 \]
This simplifies to:
\[ 2x = -2 \]

### Step 4: Solve for x
Now, we divide both sides by \( 2 \):
\[ x = \frac{-2}{2} \]
This gives us:
\[ x = -1 \]

### Step 5: Check the result
To verify our solution, we substitute \( x = -1 \) back into the original equation:
\[ 7 - 5(-1) = 5 - 7(-1) \]
Calculating both sides:
Left side:
\[ 7 + 5 = 12 \]
Right side:
\[ 5 + 7 = 12 \]
Since both sides are equal, our solution is confirmed.

### Final Answer
Thus, the solution to the equation \( 7 - 5x = 5 - 7x \) is:
\[ x = -1 \]

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